Can a Muslim man marry a Jewish woman, and is a Jewish woman who wishes to convert to Islam accepted as a new Muslim in Islamic society?

Indeed, feelings of openness to Islam and Allah's response to prayers for guidance are signs of Allah's divine grace. The religion of Islam does not differentiate between new Muslims based on their origins, and examples of this include Abdullah ibn Salam and Safiyyah bint Huyayy, who were Jewish and became among the best of Muslims. Therefore, the questioner should hasten to embrace Islam, while emphasizing that a relationship with a Muslim man is not lawful except through marriage.